Output feedback stabilisation of minimum phase systems by delays

A. Ilchmann; C. J. Sangwin

doi:10.1016/j.sysconle.2004.02.001

Output feedback stabilisation of minimum phase systems by delays

A. Ilchmann, C. J. Sangwin^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related.

Original language	English
Pages (from-to)	233-245
Number of pages	13
Journal	Systems and Control Letters
Volume	52
Issue number	3-4
DOIs	https://doi.org/10.1016/j.sysconle.2004.02.001
Publication status	Published - Jul 2004

Keywords / Materials (for Non-textual outputs)

Delay-feedback
Minimum phase systems
Output feedback stabilisation
Relative degree two

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10.1016/j.sysconle.2004.02.001

Cite this

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title = "Output feedback stabilisation of minimum phase systems by delays",

abstract = "For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related.",

keywords = "Delay-feedback, Minimum phase systems, Output feedback stabilisation, Relative degree two",

author = "A. Ilchmann and Sangwin, {C. J.}",

year = "2004",

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language = "English",

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T1 - Output feedback stabilisation of minimum phase systems by delays

AU - Ilchmann, A.

AU - Sangwin, C. J.

PY - 2004/7

Y1 - 2004/7

N2 - For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related.

AB - For linear, square, multi-input-multi-output, minimum-phase, relative-degree one or two systems, proportional output feedback controllers are studied. In particular, we show that derivative feedback can be replaced by delay feedback, essentially an Euler approximation of the derivative, if the delay is sufficiently small. Stability regions are determined and related.

KW - Delay-feedback

KW - Minimum phase systems

KW - Output feedback stabilisation

KW - Relative degree two

UR - http://www.scopus.com/inward/record.url?scp=2642547311&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2004.02.001

DO - 10.1016/j.sysconle.2004.02.001

M3 - Article

AN - SCOPUS:2642547311

SN - 0167-6911

VL - 52

SP - 233

EP - 245

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3-4

ER -

Output feedback stabilisation of minimum phase systems by delays

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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